Download 2017 Accelerated Math 8 Information

Test Information
Test Into Course: Accelerated Math 8 (regular 7th grade students going into 8th grade)
Location: Wayzata High School 2nd Floor Forum
Assessment Dates and Times: 10:30 am – 12:30 pm
July 27th
August 1st
August 2nd
Results Release Date: Results will be available by early-August.
Materials
Students enrolled in Test Into Accelerated Math 8 will receive a URL along with a username and
password after the end of the regular school year. We cannot offer these access privileges prior to the
first Monday after the last day of school, simply because we do not have any additional subscriptions to
the material until we un-enroll current students. If you want to begin studying prior to that day, then
please use the resources below.
Textbook and ISBN number: Core Connections Course 3 (ISBN#978-1-60328-091-4)
Note: Wayzata School District and its Employees are not responsible to provide students a textbook during the test out process
Additional Units of emphasis: Selected chapters (TBD) from:
Core Connections Integrated 1 (ISBN#978-1-60328-323-6)
Test Format: Two-Part Final Exam
Part 1 is comprehensive exam of grade level standards, consisting of constructed response and multiple
choice questions.
Part 2 is an in-depth problem(s) that focus the big idea of the course, which is Linear Function.
Course Learning Targets/Objectives
Core Connections Course 3
Topic 1: Linear Functions
Learning Targets:
 Determine if a relationship is linear from a table, graph, equation and situation. (MS 8.2.1.3 and
8.2.1.4)
 Use linear equation to represent situation involving constant rate of change, including
proportional and non-proportional relationships. (MS 8.2.4.1)

Identify the y-intercept and rate of change from a graph, table, equation and situation. (MS
8.2.2.2)
 Recognize an arithmetic sequence is a linear function that can be expressed in the form f(x) = mx
+ b. (MS 8.2.1.1, MS 8.2.1.2, MS 8.2.1.3 and MS 8.2.1.4)
 Translate between linear tables, graph, equations and descriptions. (MS 8.2.2.1 and MS 8.2.2.4)
 Know how coefficients (slope) affect graphs and check with a calculator. (MS 8.2.2.3)
 Given sufficient information, write the equation of a line in point-slope and slope-intercept form
(MS 8.2.4.3)
 Convert between linear equations in slope-intercept, point-slope and standard forms. (MS
8.2.4.3)
 Given a line and point not on the line, find an equation of a line that is parallel and
perpendicular through that point. (MS 8.3.2.3)
 Understand and apply the relationships between the slopes of parallel lines and between the
slopes of perpendicular lines. (MS 8.3.2.1)
 Write the equation for the line of best fit given a set of data. (MS 8.4.1.1)
 Use the line of best fit to make predictions and assess the reasonableness of it. (MS 8.4.1.2 and
MS 8.4.1.3)
 Analyze polygons on a coordinate system by determining the slopes of their sides. (MS 8.3.2.2)
Key Terms:
Linear, Linear Relationship, linear function, coefficient, Y-intercept, slope, rise, run, constant, rate of
change, y = mx + b, where m is the coefficient of x and b is the y-intercept, proportional vs. nonproportional (y = mx vs. y = mx + b), Parallel, Perpendicular, point-slope form, slope intercept form,
standard form
Formulas:
Slope- Intercept Form: y = mx + b, y = ax + b, y = b + ax
Point-Slope Form: (y – y1) = m(x – x1)
Standard Form: Ax + By = C
Topic 2: Linear Inequalities
Learning Targets:
 Use linear inequalities to represent relationships in various contexts. (MS 8.2.4.4)
 Represent and solve linear inequalities using properties of inequalities including absolute values.
(MS 8.2.4.5 and MS 8.2.4.6)
 Graph the solutions of inequalities on a number line. (MS 8.2.4.5)
Key Terms:
Linear inequality, greater than, greater than or equal to, less than, less than or equal to, satisfy, number
line
Topic 3: Systems of Linear Equations
Learning Targets:
 Represent relationships in various contexts using systems of linear equations. (MS 8.2.4.7)
 Solve systems of linear equations in two variables using tables, graphs or equations. (MS
8.2.4.7)
 Use the solution of a system of linear equations to determine if the two lines are parallel,
intersecting or the same line. (MS 8.2.4.8)

Check whether a pair of numbers satisfies a system of two linear equations in two unknowns by
substituting the numbers into both equations. (MS 8.2.4.8)
Key Terms:
System of linear equations, intersecting lines, parallel lines, identical lines, solving by substitution,
solving by combination, solving by graphing.
Topic 4: Rules of exponents and scientific notation
Learning Targets:
 Recognize and interpret calculator display in scientific notation. (MS 8.1.1.5)
 Convert between standard form and scientific notation. (MS 8.1.1.5)
 Multiply and divide scientific notation. (Use exponential rules) (MS 8.1.1.5)
 Simplify expressions involving positive and negative integer exponents. (MS 8.1.1.4)
Key Terms:
Exponent
Base “E”(on calculator)
Scientific notation
Exponential form
Standard form
Expanded form
Formulas:
a0 = 1
a-b =
a1 = a
Topic 5: Exponential Function
Learning Targets:
 Recognize exponential equations patterns in tables, graphs and situations.
 Compare exponential growth to exponential decay.
 Compare exponential and linear relationships. (MS 8.2.1.5)
 Define an exponential relationship using function notation, f(x) =abx, and y= abx (MS 8.2.2.5)
 Explain how ‘a’ and ‘b’ affect the graph and table. (both growth and decay)
 Given a table, graph or equation, create/convert to the other two representations. (MS 8.2.2.5)
 Convert growth rate to growth factor and growth factor to growth rate.
 Convert decay rate to decay factor and decay factor to decay rate.
 Solve real-world problems involving exponential growth and decay using tables, graphs, and
equations. (i.e. interest rate, population growth, half life, population decay, deforestation) (MS
8.2.2.5)
Key Terms:
Exponential growth
Geometric sequence
Function Notation
Exponential decay
Linear
y- intercept
Graphs
Equations
Growth factor
Growth rate
Compound growth
Decay factor
Decay rate
Exponential Decay
Formula:
y = abx,
f(x) =abx
Topic 6: Irrational Numbers
Learning Targets:
 Estimate values of square roots of whole numbers/ determine rational approximations. (MS
8.3.1.1)
 Relate the area of a square to the length of a side. (MS 8.2.4.9)
 Classify numbers as rational or irrational and find them on the number line. (MS 8.1.1.1, MS
8.1.1.2 and MS 8.1.1.3)
 Write a radical expression in simplest radical form.(MS 8.2.3.1 and MS 8.2.3.2)
Key Terms:
Real numbers, Rational numbers, Irrational numbers, Square root/radical
Formulas:
, √A = A1/2, A= S2
Topic 7: Using the Pythagorean Theorem
Learning Targets:
 Informally justify the Pythagorean Theorem. (MS 8.3.1.3)
 Use the Pythagorean Theorem to solve real-world problems involving right triangles. (MS
8.3.1.1)
 Determine distance between two points on a coordinate system using Pythagorean Theorem
(The
 Distance Formula). (MS 8.3.1.2)
Key Terms:
Hypotenuse, Legs, Conjecture, Converse
Formulas:
a2 + b2 = c2
Topic 8: Number and Operation
Learning Targets:
 Add, subtract, multiply, divide integers
 Use order of operations to simplify.
 Identify and use the properties: associative, commutative and distributive.
 Be able to compare equivalent expressions in table, equation, and graph form.
 Generate equivalent expression using properties. (MS 8.2.3.2)
 Create an algebraic expression representing a real world situation. (MS 8.2.3.1)
 Evaluate algebraic expressions including absolute values. (MS 8.2.3.1)
Topic 9: Solving Algebraic Equations
Learning Targets:
 Identify properties of equality
 Solve one and two step equations (MS 8.2.4.2)
 Solve equations using the dist prop. (MS 8.2.4.2)
 Solve equations with variable on both sides. (MS 8.2.4.2)
 Solve equations with absolute value. (MS 8.2.4.2)